Finding the Third Proportional to 705 and 760
Calculator
Solution
The third proportional to 705 and 760 is: 819.29
Step by Step Solution
- Step 1: Write the proportion equation
705 : 760 = 760 : x - Step 2: Convert to fraction form
705/760 = 760/x - Step 3: Cross multiply
705x = 760 × 760 - Step 4: Simplify right side
705x = 577,600 - Step 5: Solve for x
x = 577,600/705 - Step 6: Final answer
x = 819.29
Related Problems
Find third proportional to 352.50 and 380
Half scale
Find third proportional to 1,410 and 1,520
Double scale
Find third proportional to 707 and 762
Similar ratio
Find third proportional to 1,057.50 and 1,140
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.